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Finding the Third Proportional to 37,344 and 81,536

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Solution

The third proportional to 37,344 and 81,536 is: 178,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,344 : 81,536 = 81,536 : x
  2. Step 2: Convert to fraction form
    37,344/81,536 = 81,536/x
  3. Step 3: Cross multiply
    37,344x = 81,536 × 81,536
  4. Step 4: Simplify right side
    37,344x = 6,648,119,296
  5. Step 5: Solve for x
    x = 6,648,119,296/37,344
  6. Step 6: Final answer
    x = 178,023.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.